# Mean and Standard Deviations

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A component is comprised of two halves. The thickness of each half is normally distributed with a mean of 2 millimeters and a standard deviation of 0.1 millimeter and the halves are independent.

a. Determine the mean and standard deviation of total thickness of the two halves. Answer E(T)=4 , and sigma of T=0.1414 ?

b. What is the probability that the total thickness exceeds 4.3 millimeters?

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This solution shows step-by-step calculations to determine the mean and standard deviation and also the probability of the total thickness exceeding 4.3 millimeters.

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Mean = 2ml + 2 ml = 4ml

Variance = sum of variances

variance of total = ...

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